What is simplify-(0.8log_{2}(0.8)+0.2log_{2}(0.2)) ?

The solution to simplify-(0.8log_{2}(0.8)+0.2log_{2}(0.2)) is -1.6+log_{2}(5)

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simplify-(0.8log_{2}(0.8)+0.2log_{2}(0.2))

simplify

- (0.8 lo g_{2} (0.8) + 0.2 lo g_{2} (0.2))

- 1.6 + lo g_{2} (5)

Decimal Notation

0.72192 \dots

Solution steps

- (0.8 lo g_{2} (0.8) + 0.2 lo g_{2} (0.2))

0.8 lo g_{2} (0.8) + 0.2 lo g_{2} (0.2) = 1.6 - lo g_{2} (5)

= - (1.6 - lo g_{2} (5))

Apply the distributive law:

- (a - b) = - a + b

- (1.6 - lo g_{2} (5)) = - 1.6 + lo g_{2} (5)

= - 1.6 + lo g_{2} (5)

ln (\frac{( n ^{n} ) \cdot e}{e ^{n}})

lo g_{16} (\frac{9 m}{n})

ln (x e^{x}) + ln (\frac{x}{e ^{x}})

lo g_{10} (x) - (lo g_{10} (y) - 5 lo g_{10} (x^{2}))

What is simplify-(0.8log_{2}(0.8)+0.2log_{2}(0.2)) ?
The solution to simplify-(0.8log_{2}(0.8)+0.2log_{2}(0.2)) is -1.6+log_{2}(5)